Ikeda Attractor

This Demonstration uses the map attributed to Ikeda: , with . An orbit of iterates of the map is plotted using the locator object as the initial point. Dragging the locator or clicking for a new initial point shows almost no change: all orbits converge to the same attractor. The map parameters , , , and can be chosen using the sliders or a random set can be launched, generating a new attractor.

SNAPSHOTS

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DETAILS

The Ikeda map function is taken from Chaotic Modeling and Simulation by C. Skiadas.
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